58331 has 8 divisors (see below), whose sum is σ = 71904. Its totient is φ = 46080.

The previous prime is 58321. The next prime is 58337. The reversal of 58331 is 13385.

58331 = 18² + 19² + ... + 56².

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 58331 - 2¹⁴ = 41947 is a prime.

It is a super-2 number, since 2×58331² = 6805011122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230 + ... + 411.

It is an arithmetic number, because the mean of its divisors is an integer number (8988).

2⁵⁸³³¹ is an apocalyptic number.

58331 is a deficient number, since it is larger than the sum of its proper divisors (13573).

58331 is a wasteful number, since it uses less digits than its factorization.

58331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its digits is 360, while the sum is 20.

The square root of 58331 is about 241.5181152626. The cubic root of 58331 is about 38.7822624136.

Subtracting from 58331 its sum of digits (20), we obtain a triangular number (58311 = T₃₄₁).

The spelling of 58331 in words is "fifty-eight thousand, three hundred thirty-one".